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Finding the Third Proportional to 108,837,780 and 236,806,706

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Solution

The third proportional to 108,837,780 and 236,806,706 is: 515,238,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,837,780 : 236,806,706 = 236,806,706 : x
  2. Step 2: Convert to fraction form
    108,837,780/236,806,706 = 236,806,706/x
  3. Step 3: Cross multiply
    108,837,780x = 236,806,706 × 236,806,706
  4. Step 4: Simplify right side
    108,837,780x = 56,077,416,006,570,432
  5. Step 5: Solve for x
    x = 56,077,416,006,570,432/108,837,780
  6. Step 6: Final answer
    x = 515,238,513.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.